The trip finishes with a three-night land stay in Lisbon and “a closing event”, the line said.
Prices for the itinerary, which is now on sale, start from £31,499 per person with flights into Cairo and out of Lisbon. A 10% early booking discount is also available until June 30, 2021.
The fare includes onboard dining, unlimited premium wine, beer and spirits, WiFi, excursions, scheduled airport transfers, onboard gratuities and flights between cruise segments.
A concierge will travel with passengers during the itinerary.
Uniworld president and chief executive Ellen Bettridge said: “We always have elevation at top of mind and strive to continuously take steps forward in fresh and exciting ways.